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Finite-element simulation with a homogenization model andexperimental study of free drop tests of corrugated cardboard packaging

Published online by Cambridge University Press:  16 November 2012

Abdelkader Djilali Hammou ,
Pham Tuong Minh Duong ,
Boussad Abbès ,
Mohammed Makhlouf  and
Ying-Qiao Guo
Abdelkader Djilali Hammou
Affiliation:
Universitéde Laghouat, 03000 Laghouat, Algérie
Pham Tuong Minh Duong
Affiliation:
Université de Reims Champagne-Ardenne, GRESPI/Matériaux, Procédés et Systèmes d’Emballage, UFR Sciences, Moulin de la Housse, BP 1039, 51687 Reims, France
Boussad Abbès*
Affiliation:
Université de Reims Champagne-Ardenne, GRESPI/Matériaux, Procédés et Systèmes d’Emballage, UFR Sciences, Moulin de la Housse, BP 1039, 51687 Reims, France
Mohammed Makhlouf
Affiliation:
Université Djillali Liabès de Sidi-Bel-Abbès, BP 89, 22000 Sidi-Bel-Abbès, Algérie
Ying-Qiao Guo
Affiliation:
Université de Reims Champagne-Ardenne, GRESPI/Matériaux, Procédés et Systèmes d’Emballage, UFR Sciences, Moulin de la Housse, BP 1039, 51687 Reims, France
*
a Corresponding author:boussad.abbes@univ-reims.fr
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Abstract

This paper presents experimental and numerical studies of drop tests of corrugatedcardboard packaging containing different foam cushions. An efficient homogenization modelfor the corrugated cardboard has been developed. In our homogenized model, the corrugatedcardboard is represented by a 2D plate. Instead of using a local constitutive law(relating the strains to the stresses) at each material point, the homogenization givesthe global rigidities (relating the generalized strains to the resultant forces) for theequivalent homogeneous plate. This model was implemented into the FE software ABAQUS. Thefoam behaviour was experimentally determined and modelled using a crushable foam model ofABAQUS. The packages are tested in free fall from a given height on a rigid floor. Thedeceleration of the packed product was recorded using a triaxial accelerometer. Thenumerical results obtained using the FE simulation with the homogenized model agree wellwith the experimental results. We have also shown that the contribution of the corrugatedcardboard box to the shock response could not be neglected in the design of cushioningpackage.

Keywords

Drop testscorrugated cardboardhomogenization modelfinite-element simulationfoam cushionsTests de chutecarton ondulémodèle d’homogénéisationsimulation par éléments-finiscalages en mousse

Information

Type
Research Article
Information
Mechanics & Industry , Volume 13 , Issue 3 , 2012 , pp. 175 - 184
Copyright
© AFM, EDP Sciences 2012

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References

Références

Goyal, S., Upasani, S., Patel, D.M., Improving impact tolerance of portable electric products : Case study of cellular phones, Exp. Mech. 39 (1999) 43–52 CrossRefGoogle Scholar
Goyal, S., Methods for realistic drop-testing, Int. J. Microcircuits Electron. Packag. 23 (2000) 45–52 Google Scholar
Gorman, S.P., In-package methods improve shock, vibration testing, Packag. Technol. Eng. 6 (1997) 26–29 Google Scholar
Masso-Moreu, Y., Mills, N.J., Impact compression of polystyrene foam pyramids, Int. J. Impact Eng. 28 (2003) 653–676 CrossRefGoogle Scholar
Low, K.H., Drop-impact cushioning effect of electronic products formed by plates, Adv. Eng. Softw. 34 (2003) 31–50 CrossRefGoogle Scholar
Liu, T.L., Rutledge, L., Zhou, Y., Simulation, analysis critical to safe product distribution, Packag. Technol. Eng. 8 (1999) 25–27 Google Scholar
Mills, N.J., Masso-Moreu, Y., Finite element analysis (FEA) applied to polyethylene foam cushions in package drop tests, Packag. Technol. Sci. 18 (2005) 29–38 CrossRefGoogle Scholar
Hahn, E.K., Rudo, A.D., Westerlind, B.S., Carlsson, L.A., Compressive strength of edge-loaded corrugated board panels, Exp. Mech. 32 (1992) 259–265 CrossRefGoogle Scholar
Lee, M.H., Park, J.M., Flexural stiffness of selected corrugated structures, Packag. Technol. Sci. 17 (2004) 275–286 CrossRefGoogle Scholar
Urbanik, T.J., Effect of corrugated flute shape on fiberboard edgewise crush strength and bending stiffness, J Pulp Pap. Sci. 27 (2001) 330–335 Google Scholar
Biancolini, M.E., Brutti, C., Numerical and experimental investigation of the strength of corrugated board packages, Packag. Technol. Sci. 16 (2003) 47–60 CrossRefGoogle Scholar
Talbi, N., Batti, A., Ayad, R., Guo, Y.Q., An analytical homogenization model for finite element modeling of corrugated cardboard, Compos. Struct. 88 (2009) 280–289 CrossRefGoogle Scholar
Rami, H.A., Choi, J., Wei, B.S., Popil, R., Schaepe, M., Refined nonlinear finite element models for corrugated fiberboards, Compos. Struct. 87 (2009) 321–333 Google Scholar
Baum, G.A., Brennan, D.C., Habeger, C.C., Orthotropic elastic constants of papers, Tappi J. 64 (1981) 97–101 Google Scholar
Abaqus user subroutine reference manual v6.7. Simulia, 2007
Abbès, B., Guo, Y.Q., Analytic homogenization for torsion of orthotropic sandwich plates : Application to corrugated cardboard, Compos. Struct. 92 (2010) 699–706 CrossRefGoogle Scholar
Nordstrand, T., Carlsson, L.A., Allen, H.G., Transverse shear stiffness of structural core sandwich, Compos. Struct. 27 (1994) 317–329 CrossRefGoogle Scholar
Gibson, L.J., Ashby, M.F., The mechanics of three-dimensional cellular materials, P. Roy. Soc. A Mat. 382 (1982) 43–59 CrossRefGoogle Scholar
Li, Q.M., Mines, R.A.W., Strain measures for rigid crushable foam in uniaxial compression, Strain 38 (2002) 132–140 CrossRefGoogle Scholar
Machado, G.C., Alves, M.K., Rossi, R., Silva, C.R.A., Numerical modelling of large strain behaviour of polymeric crushable foams, Appl. Math. Model. 35 (2011) 1271–1281 CrossRefGoogle Scholar